Geodesic
Global solvability of massless Dirac–Maxwell systems
Annales de l'I.H.P. Analyse non linéaire, Tome 35 (2018) no. 6, pp. 1645-1654
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We consider the Cauchy problem for massless Dirac–Maxwell equations on an asymptotically flat background and give a global existence and uniqueness theorem for initial values small in an appropriate weighted Sobolev space. The result can be extended via analogous methods to Dirac–Higgs–Yang–Mills theories.

DOI : 10.1016/j.anihpc.2018.01.005
Classification : 35Lxx, 35Qxx, 53A30, 53C50, 53C80
Keywords: Maxwell–Dirac equation, Initial value problem, Cauchy problem, Conformal compactification, Symmetric hyperbolic systems 
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     author = {Ginoux, Nicolas and M\"uller, Olaf},
     title = {Global solvability of massless {Dirac{\textendash}Maxwell} systems},
     journal = {Annales de l'I.H.P. Analyse non lin\'eaire},
     pages = {1645--1654},
     year = {2018},
     publisher = {Elsevier},
     volume = {35},
     number = {6},
     doi = {10.1016/j.anihpc.2018.01.005},
     mrnumber = {3846239},
     zbl = {1403.35252},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1016/j.anihpc.2018.01.005/}
}
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Ginoux, Nicolas; Müller, Olaf. Global solvability of massless Dirac–Maxwell systems. Annales de l'I.H.P. Analyse non linéaire, Tome 35 (2018) no. 6, pp. 1645-1654. doi: 10.1016/j.anihpc.2018.01.005

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